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Finding the Fourth Proportional to 2,700.54, 3,722.26 and 2,140.02

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Solution

The fourth proportional to 2,700.54, 3,722.26 and 2,140.02 is: 2,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.54 : 3,722.26 = 2,140.02 : x
  2. Step 2: Convert to fraction form
    2,700.54/3,722.26 = 2,140.02/x
  3. Step 3: Cross multiply
    2,700.54x = 3,722.26 × 2,140.02
  4. Step 4: Simplify right side
    2,700.54x = 7,965,710.85
  5. Step 5: Solve for x
    x = 7,965,710.85/2,700.54
  6. Step 6: Final answer
    x = 2,949.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.